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Citation - WoS: 7
Citation - Scopus: 7
On the Impulsive Boundary Value Problems for Nonlinear Hamiltonian Systems
(Wiley, 2016) Guseinov, Gusein Sh.
In this work, we deal with two-point boundary value problems for nonlinear impulsive Hamiltonian systems with sub-linear or linear growth. A theorem based on the Schauder fixed point theorem is established, which gives a result that yields existence of solutions without implications that solutions must be unique. An upper bound for the solution is also established. Examples are given to illustrate the main result. Copyright (C) 2016 John Wiley & Sons, Ltd.
Citation - WoS: 3
Citation - Scopus: 3
An Inverse Spectral Problem for Complex Jacobi Matrices
(Elsevier, 2010) Guseinov, Gusein Sh.
We introduce the concept of generalized spectral function for finite order complex Jacobi matrices and solve the inverse problem with respect to the generalized spectral function. The results obtained can be used for solving of initial-boundary value problems for finite nonlinear Toda lattices with the complex-valued initial conditions by means of the inverse spectral problem method. (C) 2009 Elsevier B.V. All rights reserved.